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- 2025-07-19T17:46:04.328771+00:00
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mf_newforms • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'cm_discs': [], 'conrey_index': 82, 'dim': 12, 'field_disc': 55649466460449, 'field_disc_factorization': [[3, 18], [379, 2]], 'field_poly': [1, 0, 132, 0, 306, 0, 266, 0, 105, 0, 18, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 270, -585, 198, 261, -42, -36, 27, 15, 6, 3, 1]], [5, [25281, -31482, 18549, -10215, 6408, -4041, 2820, -1566, 684, -249, 69, -12, 1]], [7, [18496, 86496, 148224, 111616, 60228, 24714, 7995, 1899, 369, 52, 6, 3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539870812537561, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '729.2.e.l', 'level': 729, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '729.2.a.b', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{2}q^{2}+(-2\\beta _{1}-\\beta _{2}+\\beta _{3}-\\beta _{5}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '729.2.e', 'trace_display': [-3, 0, 12, -3], 'trace_hash': 171074017948182786, 'trace_moments': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, -1, 1, 0, -1, 1, 0, 1, 0, 1, 0], [1, 0, -1, -1, -1, 0, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 0, 1, -2, 1, 0, 1, 0, 0, -1], [-2, 3, -1, -1, -1, -2, -2, -2, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, 1, -1, 0, 2, -3, -1, -1, 0, 0, 1], [-1, 1, 0, 0, -1, -1, 2, 0, 0, -2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 1, -1, -1, 0, 1, 1, -1, 1], [-1, 4, 1, 0, -1, 1, -5, 1, -1, 2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, 0, -1, 1, 3, -2, 1, 0, -2, -2, 1], [0, 0, 1, 1, 0, -2, 1, -3, 0, -2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 2, -1, 0, 0, -1, -1, -1, -1, -2, 1, 1], [3, -4, -1, 1, 1, 3, 5, 4, 1, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 1, 0, 2, -1, -4, -1, 2, 0, 2], [2, 2, -1, 1, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -2, -1, -1, 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-11, -9, -11, 0, -3, 5], [-2, -3, 8, 3, -5, 2, 2, -6, -5, -2, 2, -2], [8, 5, 2, -2, -2, 7, 0, -3, 0, 6, -5, 0], [4, 0, -8, 0, 4, -4, 8, -3, 0, 8, 4, 0], [-12, 6, -5, -6, -6, 6, 6, 12, 0, 6, -6, 6], [-1, -10, 1, 10, 10, 1, 5, 5, -1, -2, 1, -1], [9, 12, 0, -4, -1, 11, -15, 4, -7, 4, -3, -1], [-4, 0, 7, 6, 7, 2, -19, -11, -6, 2, 0, 2], [4, -4, -4, 0, 0, -4, 8, -4, 2, 0, 4, -2], [-6, 0, 1, 6, 1, 4, 6, -7, -6, 4, 0, 0], [5, 8, 0, 8, 3, -5, -11, -8, -3, 0, 5, 3], [12, -1, 2, 6, 6, -4, -1, -1, -1, 10, 1, -2], [-5, -13, -2, 2, 3, -10, -1, -3, -1, 1, 4, 0], [3, 0, -3, 3, 4, 11, -1, 11, -1, -12, 4, 0], [1, 21, 0, -3, -3, -1, -11, -6, -3, -12, 7, -7], [7, -2, 0, 3, -2, -9, 6, -3, 11, -2, 5, -2], [19, -1, -2, 0, 9, 0, 5, -1, 1, 0, 2, -1], [-8, -7, 5, 0, -3, 8, 5, -7, -1, 0, -5, 4], [-3, -14, 2, 8, 5, -12, -2, -17, -2, 0, -8, 3], [-22, 3, 0, -2, 4, 12, 9, 2, -9, -16, -6, 4], [-1, -2, 3, -5, 0, -2, -1, 4, -1, 4, 2, 1], [7, -6, 1, 0, 1, -1, 5, -12, 0, 5, 1, 0], [3, -2, 10, -1, 1, -1, 2, 1, 0, 2, 1, 1], [-6, 0, -3, 3, -5, -7, 8, 2, 8, -6, 7, 0], [1, 3, -3, 1, 1, -5, 9, 9, 1, 4, -1, 3], [-3, -4, 4, 7, 0, -7, -6, -18, -4, 6, -7, 7], [7, 5, 8, 0, 3, 2, -19, 5, -7, 0, -8, 1], [5, 0, -3, -8, -3, 8, 14, 8, 8, 8, 0, -3], [1, 6, 1, -2, -3, -1, -5, -17, -3, -14, -1, 1], [7, 14, -4, 4, 0, 7, -3, -4, 7, 10, 3, -7], [-2, -4, -5, 5, 6, 2, -1, 9, -1, -8, 4, 0], [9, -2, -4, -2, -2, 4, -8, -8, 0, 13, 0, 4], [-6, 9, 0, -15, 0, 6, -6, 6, -6, -4, -6, 6], [-11, -10, -4, 0, 3, -16, 2, -10, 5, 0, 4, 1], [18, -5, -7, 2, 2, -6, 19, 1, 7, 6, -2, 0], [-8, 8, -1, -8, 0, 10, -9, 2, -8, 10, -9, 8], [16, -1, -5, 5, 3, 8, 2, -3, 2, 10, -2, 0], [3, 5, 1, 7, 8, -8, 1, -16, 0, 1, 8, -7], [-6, 9, -3, 3, 1, -16, 2, -7, 2, 12, -2, 0], [-9, 18, 6, 3, 0, 9, -15, -21, -9, -4, -3, 9], [6, 7, -5, -10, -4, -12, 13, -1, 5, -8, 10, -6], [-1, 13, -13, 0, -9, -6, 7, 13, 8, 0, 13, -5], [-19, 0, 3, -2, 3, -16, 2, -22, 2, -16, 0, -3], [-5, -7, -10, -12, -11, -8, 25, 3, 10, -21, 12, -1], [1, 15, 2, 3, 1, -1, -19, -6, 1, -2, -1, 1], [13, 3, 0, -3, -3, -3, -3, -3, 3, 13, -3, 0], [-10, 8, 5, -5, -2, -5, -3, 0, -3, -3, -2, 0], [-3, 2, -2, 5, -1, 1, 8, -2, 0, 8, -1, -5], [2, -4, -7, 3, 0, -1, 8, 2, 2, 2, -5, -2], [6, -1, -8, 7, 6, 5, -6, 12, 8, 21, -7, 1], [5, 0, 0, -2, 0, -10, -2, 5, 2, -10, 0, -1], [10, 8, 4, 0, -12, 24, 8, 8, -8, 0, -4, -4], [-9, 0, 7, 3, 7, -14, -6, -16, -3, -14, 0, -3], [-7, -2, 0, -3, -1, 26, 11, 3, 3, -8, -2, -1], [13, -6, -2, 4, 6, -13, 10, -14, 6, -11, 8, -8], [10, -9, 7, 6, 1, -1, -1, -12, 0, -1, 1, -6], [9, -12, -14, -3, -3, 3, 18, 0, 0, 18, -3, 3], [-18, 1, 8, -5, -5, 4, 4, 4, 0, -26, 0, -8], [4, -11, 0, 0, -2, -6, -3, 0, -1, 16, 2, -2], [14, 1, 2, 0, 3, -3, -8, 1, -4, 0, -2, -2], [-17, -4, -1, 6, -2, 10, -17, 3, 1, 9, -6, 8], [-2, 11, -4, -11, 0, 10, -6, 8, -2, 10, -6, 2], [12, -1, -11, 8, 11, -11, -4, 4, 0, -4, 11, -8], [0, 0, 3, -3, -5, 23, 2, 20, 2, -18, -5, 0], [-1, 5, -7, 0, 0, 2, 5, -4, -1, 2, -8, 1], [19, -6, 3, 9, 6, -19, 4, -21, 6, -6, 7, -7], [20, 0, 1, -12, 1, 8, 14, 19, 12, 8, 0, 2], [-4, 15, 3, 0, 0, 15, -6, 15, 0, 0, -3, 3], [-11, 0, -10, -10, -10, 3, 10, -1, 10, 3, 0, -6], [10, 3, -10, -6, 4, -10, 8, 3, 4, -2, 5, -5], [2, 1, 3, 7, 0, 7, -10, 1, 2, 10, 5, -2], [6, 3, -1, 1, 9, -4, -8, -9, -8, 18, -8, 0], [5, 12, -5, -4, 1, -5, -1, 12, 1, 5, 7, -7], [9, -6, -3, 0, -3, -6, 6, -6, 0, 0, 3, -3], [-11, 17, -4, 0, -15, 14, 5, 17, -1, 0, 4, -5], [23, 8, 0, -4, -6, -14, 1, 4, 18, -3, 2, -6], [7, -3, -10, -12, -2, -7, 8, -6, -2, -2, -7, 7], [-10, 1, 0, -5, 0, 10, -10, 4, -10, -8, -10, 10], [-12, 2, -4, -6, -6, -1, 5, 5, 5, -8, -5, 4], [-3, -8, 4, -1, -11, 11, 8, -2, 0, 8, -11, 1], [-6, 15, 0, 5, -4, -4, 3, -5, -7, -14, 9, -4], [21, 16, 7, -1, 5, -3, 1, -4, -7, 7, 1, -6], [-4, 0, -2, 0, -2, 2, -10, -2, 0, 2, 0, 2], [-5, -1, 1, 0, 0, 15, 14, -1, 4, 0, -1, 5], [-20, -12, 5, -3, -8, 20, -4, -3, -8, 1, -19, 19], [-9, -9, 1, 10, 0, -2, 1, -12, -9, 25, -8, 9], [12, -10, -10, 12, 12, -1, -1, -1, -1, 22, 1, 10], [-6, 26, -6, 6, -4, -24, 10, -12, 10, 2, 16, 0], [-8, -26, 0, -3, -2, 3, 12, 3, 2, 16, -1, -2], [-9, -3, -5, 0, -11, 4, 5, -2, 5, 2, 0, 11], [14, -6, 0, 0, 0, -12, -6, -6, 6, 0, 0, 6], [-4, -10, 0, 8, 0, 16, 7, -8, 3, 3, 8, 0], [-9, -16, -1, -9, -9, 23, 17, 17, 2, -8, -2, 1], [1, -16, 1, -1, 0, 5, -1, 3, -1, 4, -8, 0], [-12, 15, -2, -6, 3, -3, -6, 9, 0, -6, 3, 6], [8, 5, -2, 16, 16, -20, -10, -10, -1, 10, 1, 2], [-19, 0, 0, 4, 0, -22, -2, -19, -4, -22, 0, -1], [-1, 19, 2, 0, -3, -6, -29, 19, -1, 0, -2, 1], [19, 0, -4, -4, -4, 6, -2, 23, 4, 6, 0, 3], [-7, -4, 0, 5, -3, -26, 7, -5, -3, 0, 8, -3], [-11, 27, 3, -3, -3, -15, -3, -3, -9, -14, 9, -3], [-6, 5, -11, -1, -1, 1, -7, 19, 0, -7, -1, 1]], 'char_orbit_index': 5, 'field_poly': [1, 0, 132, 0, 306, 0, 266, 0, 105, 0, 18, 0, 1], 'hecke_orbit_code': 49539870812537561, 'hecke_ring_character_values': [[2, [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8, 8, 8, 4, 8, 8, 8, 4, 4, 8, 4], 'hecke_ring_inverse_denominators': [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, -2, -1, -2, 3, 1, 1, -2, 1, -2], [-4, 1, 1, 0, -1, 2, -1, 1, 0, 0, -1, 1], [-1, -7, -1, 14, 7, 20, -27, -7, -10, 20, -1, 11], [30, -12, -12, 0, 10, -20, 16, -12, 3, 0, 12, -9], [-8, 43, -11, -122, -61, -182, 261, 79, 103, -200, -11, -92], [-269, 126, 118, 0, -100, 192, -170, 126, -37, 0, -118, 81], [119, -298, 164, 1136, 568, 1700, -2538, -838, -1024, 1958, 164, 860], [2539, -1253, -1137, 0, 983, -1842, 1685, -1253, 381, 0, 1137, -756], [-1262, 2401, -1763, -10814, -5407, -16184, 24597, 8413, 10000, -18998, -1763, -8237], [-24325, 12223, 10951, 0, -9563, 17722, -16403, 12223, -3754, 0, -10951, 7197], [12524, -21352, 17618, 103808, 51904, 155366, -237822, -82456, -96949, 183710, 17618, 79331]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 31, 63, -21, 58, -106, 15, -72, 1, -16, 0, -1], [1, 16, 163, 63, 285, 58, 160, 15, 33, 1, 2, 0], [11, 126, -159, 301, -285, 204, -160, 47, -33, 3, -2, 0], [-3, 0, 222, 0, 343, 0, 175, 0, 34, 0, 2, 0], [3, 59, -411, 58, -702, 15, -394, 1, -82, 0, -5, 0], [3, -59, -411, -58, -702, -15, -394, -1, -82, 0, -5, 0], [5, -90, 474, -37, 760, 91, 409, 71, 83, 16, 5, 1], [7, 78, 356, -158, 583, -389, 321, -232, 66, -49, 4, -3], [-2, -42, 0, -335, 0, -477, 0, -249, 0, -50, 0, -3], [13, -22, 549, 495, 881, 866, 482, 481, 99, 99, 6, 6], [11, -78, 356, 158, 583, 389, 321, 232, 66, 49, 4, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '729.2.e.l', 'level': 729, 'maxp': 997, 'weight': 2}
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'conrey_index': 82, 'cusp_dim': 378, 'dim': 198, 'eis_dim': 216, 'eis_new_dim': 36, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 274911462105, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '729.2.e', 'level': 729, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 594, 'mf_new_dim': 234, 'num_forms': 21, 'prim_orbit_index': 5, 'relative_dim': 33, 'sturm_bound': 162, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [198, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1260, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -774, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 810, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -1602, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -1422, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1332, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 2664, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 2556], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 473599
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '729.2.a.b', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473600
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '729.2.a.e', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473601
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.c.a', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473602
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '729.2.c.d', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473603
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '729.2.e.j', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473604
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '729.2.e.j', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473605
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '729.2.e.k', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473606
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '729.2.e.k', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473607
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '729.2.e.l', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473608
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '729.2.e.l', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473609
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '729.2.e.s', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473610
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '729.2.e.s', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473611
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '729.2.e.t', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473612
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '729.2.e.t', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473613
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '729.2.e.u', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473614
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '729.2.e.l', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '729.2.e.u', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1260275
{'charpoly_factorization': [[[9, 0, 270, -585, 198, 261, -42, -36, 27, 15, 6, 3, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 2}
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id: 1260276
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 49539870812537561, 'p': 3}
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id: 1260277
{'charpoly_factorization': [[[25281, -31482, 18549, -10215, 6408, -4041, 2820, -1566, 684, -249, 69, -12, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 5}
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id: 1260278
{'charpoly_factorization': [[[18496, 86496, 148224, 111616, 60228, 24714, 7995, 1899, 369, 52, 6, 3, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 7}
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id: 1260279
{'charpoly_factorization': [[[788544, 223776, 4320, -40032, 21744, 1692, 2577, -162, -216, -12, 6, 3, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 11}
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id: 1260280
{'charpoly_factorization': [[[7921, 3471, 6591, -3566, -9396, 1044, 4593, 702, 441, 88, 15, -6, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 13}
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id: 1260281
{'charpoly_factorization': [[[210681, -223074, 285768, -71442, 77274, -18711, 14769, -2430, 1323, -270, 81, -9, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 17}
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id: 1260282
{'charpoly_factorization': [[[87616, -174048, 320880, -141152, 102636, -8172, 17637, 279, 2169, 490, 129, 12, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 19}
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id: 1260283
{'charpoly_factorization': [[[207936, -229824, 870912, -432576, 328248, -177246, 42861, -3330, 576, -564, 168, -21, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 23}
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id: 1260284
{'charpoly_factorization': [[[97594641, -111227661, 66758742, -28751346, 10251234, -2630079, 372963, -13509, -2313, 735, -21, -6, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 29}
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id: 1260285
{'charpoly_factorization': [[[1032256, -2145792, 2975952, -2671976, 1580544, -523278, 76953, 5112, -2682, 151, 24, -6, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 31}
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id: 1260286
{'charpoly_factorization': [[[259499881, -148798833, 136307154, 14382607, 12197421, 875754, 560877, 49716, 14859, 535, 138, 3, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 37}
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id: 1260287
{'charpoly_factorization': [[[534025881, -252696915, -14304222, 9411435, 4456764, 432981, 58818, 4248, 4959, 1623, 213, 15, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 41}
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id: 1260288
{'charpoly_factorization': [[[300814336, 206462976, 96642048, 46574080, 14365440, 2236032, 345792, 50400, 11232, 2608, 384, 30, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 43}
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id: 1260289
{'charpoly_factorization': [[[314565696, -456524640, 137192832, 44724456, 7018956, 813204, 174621, 69372, 21267, 3525, 348, 21, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 47}
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id: 1260290
{'charpoly_factorization': [[[1944, 14580, 1620, -729, -81, 9, 1], 2]], 'hecke_orbit_code': 49539870812537561, 'p': 53}
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id: 1260291
{'charpoly_factorization': [[[166464, 455328, 2852496, 3598416, 1793160, 334674, 19911, 7047, 1602, -1923, 375, -30, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 59}
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id: 1260292
{'charpoly_factorization': [[[2483776, -8415840, 11898336, 12230728, 17459964, 11488392, 4047573, 839259, 107244, 8899, 555, 30, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 61}
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id: 1260293
{'charpoly_factorization': [[[298874944, 445200576, 504914880, 366999928, 168034248, 50719320, 10481673, 1520217, 159102, 12616, 807, 39, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 67}
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id: 1260294
{'charpoly_factorization': [[[862949376, -609140736, 353839104, -104509440, 29922048, -5225472, 1271808, -176256, 29808, -1728, 180, 0, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 71}
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id: 1260295
{'charpoly_factorization': [[[3317875201, 2132389020, 1361321841, 242511088, 85050117, 11914866, 3914682, 353628, 48825, 2236, 300, 12, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 73}
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id: 1260296
{'charpoly_factorization': [[[8681766976, 3640572672, 316247808, 39263992, 33622560, 4633056, 710049, 282312, 27306, -380, 186, -15, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 79}
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id: 1260297
{'charpoly_factorization': [[[18870336, -33778944, 14991696, 744264, 2579184, 392382, 12621, 9522, 8280, 1860, 240, 21, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 83}
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id: 1260298
{'charpoly_factorization': [[[15365337849, 2178792189, 1597483944, 64953171, 97725123, 3590568, 2930769, -55242, 49221, 27, 306, -9, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 89}
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id: 1260299
{'charpoly_factorization': [[[333099001, 668260365, 619763304, 215042848, 55788894, 9202248, 940305, 24426, -7776, -1244, -21, 12, 1], 1]], 'hecke_orbit_code': 49539870812537561, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 12, 'label': '729.2.e.l', 'level': 729, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 56878141
{'hecke_orbit_code': 49539870812537561, 'n': 1, 'trace_an': 12}
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id: 56878142
{'hecke_orbit_code': 49539870812537561, 'n': 2, 'trace_an': -3}
-
id: 56878143
{'hecke_orbit_code': 49539870812537561, 'n': 3, 'trace_an': 0}
-
id: 56878144
{'hecke_orbit_code': 49539870812537561, 'n': 4, 'trace_an': -3}
-
id: 56878145
{'hecke_orbit_code': 49539870812537561, 'n': 5, 'trace_an': 12}
-
id: 56878146
{'hecke_orbit_code': 49539870812537561, 'n': 6, 'trace_an': 0}
-
id: 56878147
{'hecke_orbit_code': 49539870812537561, 'n': 7, 'trace_an': -3}
-
id: 56878148
{'hecke_orbit_code': 49539870812537561, 'n': 8, 'trace_an': -6}
-
id: 56878149
{'hecke_orbit_code': 49539870812537561, 'n': 9, 'trace_an': 0}
-
id: 56878150
{'hecke_orbit_code': 49539870812537561, 'n': 10, 'trace_an': -6}
-
id: 56878151
{'hecke_orbit_code': 49539870812537561, 'n': 11, 'trace_an': -3}
-
id: 56878152
{'hecke_orbit_code': 49539870812537561, 'n': 12, 'trace_an': 0}
-
id: 56878153
{'hecke_orbit_code': 49539870812537561, 'n': 13, 'trace_an': 6}
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id: 56878154
{'hecke_orbit_code': 49539870812537561, 'n': 14, 'trace_an': -6}
-
id: 56878155
{'hecke_orbit_code': 49539870812537561, 'n': 15, 'trace_an': 0}
-
id: 56878156
{'hecke_orbit_code': 49539870812537561, 'n': 16, 'trace_an': 27}
-
id: 56878157
{'hecke_orbit_code': 49539870812537561, 'n': 17, 'trace_an': 9}
-
id: 56878158
{'hecke_orbit_code': 49539870812537561, 'n': 18, 'trace_an': 0}
-
id: 56878159
{'hecke_orbit_code': 49539870812537561, 'n': 19, 'trace_an': -12}
-
id: 56878160
{'hecke_orbit_code': 49539870812537561, 'n': 20, 'trace_an': 39}
-
id: 56878161
{'hecke_orbit_code': 49539870812537561, 'n': 21, 'trace_an': 0}
-
id: 56878162
{'hecke_orbit_code': 49539870812537561, 'n': 22, 'trace_an': -39}
-
id: 56878163
{'hecke_orbit_code': 49539870812537561, 'n': 23, 'trace_an': 21}
-
id: 56878164
{'hecke_orbit_code': 49539870812537561, 'n': 24, 'trace_an': 0}
-
id: 56878165
{'hecke_orbit_code': 49539870812537561, 'n': 25, 'trace_an': 6}
-
id: 56878166
{'hecke_orbit_code': 49539870812537561, 'n': 26, 'trace_an': 48}
-
id: 56878167
{'hecke_orbit_code': 49539870812537561, 'n': 27, 'trace_an': 0}
-
id: 56878168
{'hecke_orbit_code': 49539870812537561, 'n': 28, 'trace_an': 6}
-
id: 56878169
{'hecke_orbit_code': 49539870812537561, 'n': 29, 'trace_an': 6}
-
id: 56878170
{'hecke_orbit_code': 49539870812537561, 'n': 30, 'trace_an': 0}
-
id: 56878171
{'hecke_orbit_code': 49539870812537561, 'n': 31, 'trace_an': 6}
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id: 56878398
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